2674203840 has 672 divisors, whose sum is σ = 11868180480. Its totient is φ = 536371200.

The previous prime is 2674203793. The next prime is 2674203863. The reversal of 2674203840 is 483024762.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2674203795 and 2674203804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874366 + ... + 6874754.

Almost surely, 2^2674203840 is an apocalyptic number.

2674203840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934090240).

2674203840 is an abundant number, since it is smaller than the sum of its proper divisors (9193976640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2674203840 is a wasteful number, since it uses less digits than its factorization.

2674203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2674203840 is about 51712.7048219294. The cubic root of 2674203840 is about 1388.0278157464.

The spelling of 2674203840 in words is "two billion, six hundred seventy-four million, two hundred three thousand, eight hundred forty".